Mario has a unit rate of 900 miles/hour.
Explanation:
It is given that Mario travels at a rate of 2/3 miles every 10 minutes.
We use the relation between speed, time, and distance, described by
We have,
Distance = 
Time = 10 minutes
By substituting these values into the preceding formula, we get
![\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15}](https://tex.z-dn.net/?f=%5Ctext%7BSpeed%7D%20%3D%20%5Cfrac%7B2%2F3%7D%7B10%7D%5C%5C%5C%5C%20%5Ctext%7BSpeed%7D%20%3D%5Cfrac%7B2%7D%7B10%5Ccdot%203%7D%5C%5C%5C%5C%20%5Ctext%7BSpeed%7D%20%3D%5Btex%5D%5Cfrac%7B1%7D%7B15%7D)
\text{ miles/min}[/tex]
To express the unit rate in miles per hour, we must multiply by 60.
Thus, the resulting unit rate is
Count the total colors of beads
42+28+12+18=100
Next, calculate the sum of the yellow and green beads
42+28=70
To determine the count of beads that are neither yellow nor green, subtract from the total
100-70=30
The first answer thus is 30/100 -> 3/10 -> 30%
Now, tally the red and green beads
28+18=46
Thus, the next answer is
46/100 -> 23/50 -> 46%
Answer:
The cabin is located 567 yards away.
Step-by-step solution:
The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.
Apply the tangent function:
Opposite side length: 220 yards
Adjacent side length: x (distance to cabin)
tan(21.2°) = opposite / adjacent
tan(21.2°) = 220 yards / x
Multiply both sides by x:
x × tan(21.2°) = 220 yards
Isolate x:
x = 220 yards / tan(21.2°)
x = 220 / 0.388
x = 567 yards
Hence, the cabin is 567 yards away.
The original price stands at $450.
Step-by-step explanation:
Step 1:
Given information, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Formulate the equation for determining the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Plug in the known values into the formula
315 = OP - D
D = 
D = 0.3 OP
Step 4:
Insert the value of D back into the initial equation
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
A resulting Original Price of OP = 315/0.7 = $450
Response:
A solid qualifies as a polyhedron if it consists solely of polygonal facets, with the faces converging at... polygons, and an equivalent number of faces converging at each vertex.... referred to as a right prism).... 1. 2. 3. The visuals below depict a 3-dimensional shape that does not meet the criteria... Example 10: The solid illustrated below is categorized as a rectangular prism or cuboid
Detailed explanation:
